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Simplifying 1 = 7(w + 7) + 5w Reorder the terms: 1 = 7(7 + w) + 5w 1 = (7 * 7 + w * 7) + 5w 1 = (49 + 7w) + 5w Combine like terms: 7w + 5w = 12w 1 = 49 + 12w Solving 1 = 49 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 1 + -12w = 49 + 12w + -12w Combine like terms: 12w + -12w = 0 1 + -12w = 49 + 0 1 + -12w = 49 Add '-1' to each side of the equation. 1 + -1 + -12w = 49 + -1 Combine like terms: 1 + -1 = 0 0 + -12w = 49 + -1 -12w = 49 + -1 Combine like terms: 49 + -1 = 48 -12w = 48 Divide each side by '-12'. w = -4 Simplifying w = -4
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